4234224324 has 96 divisors (see below), whose sum is σ = 11085484032. Its totient is φ = 1246752000.

The previous prime is 4234224299. The next prime is 4234224331.

4234224324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4234224291 and 4234224300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465209 + ... + 1468095.

It is an arithmetic number, because the mean of its divisors is an integer number (115473792).

Almost surely, 2^4234224324 is an apocalyptic number.

4234224324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234224324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542742016).

4234224324 is an abundant number, since it is smaller than the sum of its proper divisors (6851259708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4234224324 is a wasteful number, since it uses less digits than its factorization.

4234224324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4234224324 is about 65070.9176514363. The cubic root of 4234224324 is about 1617.7992170291.

It can be divided in two parts, 42342 and 24324, that added together give a palindrome (66666).

The spelling of 4234224324 in words is "four billion, two hundred thirty-four million, two hundred twenty-four thousand, three hundred twenty-four".